Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.1 Composite Functions - 4.1 Assess Your Understanding - Page 279: 8


(a) $5$ (b) $11$ (c) $0$ (d) $0$ (e) $1$ (f) $7$

Work Step by Step

(a) $(f\circ g)(1)=f(g(1))=f(0)=5$ (b) $(f\circ g)(2)=f(g(2))=f(-3)=11$ (c) $(g\circ f)(2)=g(f(2))=g(1)=0$ (d) $(g\circ f)(3)=g(f(3))=g(-1)=0$ (e) $(g\circ g)(1)=g(g(1))=g(0)=1$ (f) $(f\circ f)(3)=f(f(3))=f(-1)=7$
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